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A novel finite difference-spectral method for fractal mobile/immobiletransport model based on Caputo–Fabrizio derivative

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  • Fardi, Mojtaba
  • Khan, Yasir

Abstract

This paper proposes a finite difference-spectral method toa mobile/immobile fractal transport model formulated with the concept of a fractional derivative of Caputo–Fabrizio. A finite difference scheme is used in temporal space to achieve a semi-discrete configuration, whereas a Legendre-spectral approach proposes for spatial discretization. The error calculation of the new procedure is calculated based on the theoretical foundation of the current technique. Finally, a variety of numerical examples are presented to determine the feasibility and applicability of the suggested method in terms of convergence ratio and accuracy.

Suggested Citation

  • Fardi, Mojtaba & Khan, Yasir, 2021. "A novel finite difference-spectral method for fractal mobile/immobiletransport model based on Caputo–Fabrizio derivative," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920309644
    DOI: 10.1016/j.chaos.2020.110573
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    References listed on IDEAS

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    Cited by:

    1. Ji Lin & Sergiy Reutskiy & Yuhui Zhang & Yu Sun & Jun Lu, 2023. "The Novel Analytical–Numerical Method for Multi-Dimensional Multi-Term Time-Fractional Equations with General Boundary Conditions," Mathematics, MDPI, vol. 11(4), pages 1-26, February.
    2. El-Tantawy, S.A. & Salas, Alvaro H. & Alharthi, M.R., 2021. "Novel analytical cnoidal and solitary wave solutions of the Extended Kawahara equation," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).

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